What is the Greatest Common Factor of 33584 and 33602?

Greatest common factor (GCF) of 33584 and 33602 is 2.

GCF(33584,33602) = 2

We will now calculate the prime factors of 33584 and 33602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33584 and 33602.

How to find the GCF of 33584 and 33602?

We will first find the prime factorization of 33584 and 33602. After we will calculate the factors of 33584 and 33602 and find the biggest common factor number .

Step-1: Prime Factorization of 33584

Prime factors of 33584 are 2, 2099. Prime factorization of 33584 in exponential form is:

33584 = 2⁴ × 2099¹

Step-2: Prime Factorization of 33602

Prime factors of 33602 are 2, 53, 317. Prime factorization of 33602 in exponential form is:

33602 = 2¹ × 53¹ × 317¹

Step-3: Factors of 33584

List of positive integer factors of 33584 that divides 33584 without a remainder.

1, 2, 4, 8, 16, 2099, 4198, 8396, 16792

Step-4: Factors of 33602

List of positive integer factors of 33602 that divides 33584 without a remainder.

1, 2, 53, 106, 317, 634, 16801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33584 and 33602. The biggest common factor number is the GCF number.
So the greatest common factor 33584 and 33602 is 2.

Also check out the Least Common Multiple of 33584 and 33602